MATH SOLVE

6 months ago

Q:
# evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4.a.176b.180c.215d.216

Accepted Solution

A:

The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:

2(2)(4)³ + 6(2)³ - 4(2)(4)²

Now we can start solving this by factoring the expression

2(2 × 4³ + 3 × 2³ - 4 × 4²)

Write 4³ in exponential form with a base of 2.

2(2 × [tex] 2^{6} [/tex] + 3 × 2³ - 4 × 4²)

Calculate the product of -4 × 4².

2(2 × [tex] 2^{6} [/tex] + 3 × 2³ -4³)

Now write 4³ in exponential form with a base of 2.

2(2 × [tex] 2^{6} [/tex] + 3 × 2³ -[tex] 2^{6} [/tex])

Collect the like terms with a base of 2.

2([tex] 2^{6} [/tex] + 3 × 2³)

Evaluate the power of 2³.

2([tex] 2^{6} [/tex] + 3 × 8)

Evaluate the power of [tex] 2^{6} [/tex].

2(64 + 3 × 8)

Multiply the numbers.

2(64 + 24)

Add the numbers in the parenthesis.

2 × 88

Multiply the numbers together to find your final answer.

176

This means that the correct answer to your question is option A.

Let me know if you have any further questions.

:)

2(2)(4)³ + 6(2)³ - 4(2)(4)²

Now we can start solving this by factoring the expression

2(2 × 4³ + 3 × 2³ - 4 × 4²)

Write 4³ in exponential form with a base of 2.

2(2 × [tex] 2^{6} [/tex] + 3 × 2³ - 4 × 4²)

Calculate the product of -4 × 4².

2(2 × [tex] 2^{6} [/tex] + 3 × 2³ -4³)

Now write 4³ in exponential form with a base of 2.

2(2 × [tex] 2^{6} [/tex] + 3 × 2³ -[tex] 2^{6} [/tex])

Collect the like terms with a base of 2.

2([tex] 2^{6} [/tex] + 3 × 2³)

Evaluate the power of 2³.

2([tex] 2^{6} [/tex] + 3 × 8)

Evaluate the power of [tex] 2^{6} [/tex].

2(64 + 3 × 8)

Multiply the numbers.

2(64 + 24)

Add the numbers in the parenthesis.

2 × 88

Multiply the numbers together to find your final answer.

176

This means that the correct answer to your question is option A.

Let me know if you have any further questions.

:)